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Commutative rings and algebras
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- 13-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- 13-01 Instructional exposition (textbooks, tutorial papers, etc.)
- 13-02 Research exposition (monographs, survey articles)
- 13-03 Historical (must also be assigned at least one classification number from Section 01)
- 13-04 Explicit machine computation and programs (not the theory of computation or programming)
- 13-06 Proceedings, conferences, collections, etc.
- 13Axx General commutative ring theory
- 13Bxx Ring extensions and related topics
- 13Cxx Theory of modules and ideals
- 13Dxx Homological methods {For noncommutative rings, see 16Exx; for general categories, see 18Gxx}
- 13Exx Chain conditions, finiteness conditions
- 13Fxx Arithmetic rings and other special rings
- 13G05 Integral domains
- 13Hxx Local rings and semilocal rings
- 13Jxx Topological rings and modules [See also 16W60, 16W80]
- 13K05 Witt vectors and related rings
- 13L05 Applications of logic to commutative algebra [See also 03Cxx, 03Hxx]
- 13Mxx Finite commutative rings {For number-theoretic aspects, see 11Txx}
- 13Nxx Differential algebra [See also 12H05, 14F10]
- 13Pxx Computational aspects of commutative algebra [See also 68W30]
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